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Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?

User Vikki
by
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1 Answer

5 votes

Given:

Total number of tickets = 600

Cost of adult ticket = $6.00

Cost of student ticket = $4.00

Total sales = $2900.00

To find:

The number of tickets of each type.

Solution:

Let the number of adult tickets be x and number of student tickets be y.

According to the question,


x+y=600 ...(i)


6x+4y=2900 ...(ii)

Multiply equation (i) by 4 and subtract the result from (ii),


6x+4y-4(x+y)=2900-4* 600


6x+4y-4x-4y=2900-2400


2x=500

Divide both sides of 2.


x=250

Put x=250 in (i).


250+y=600


y=600-250


y=350

Therefore, number of adult tickets is 250 and number of student tickets is 350.

User Richard Vivian
by
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